Generating functions for the ${\mathfrak{osp}}(1| 2)$ Clebsch–Gordan coefficients

DOI10.1088/1751-8113/49/11/115202zbMath1343.81087arXiv1507.00018OpenAlexW3123891567MaRDI QIDQ2994714

Luc Vinet, Geoffroy Bergeron

Publication date: 3 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00018

zbMATH Keywords

generating functionClebsch-Gordan coefficientsDunkl oscillatorLie superalgebra \(\mathfrak{osp}(1|2)\)paraboson

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Superalgebras (17A70) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (4)

Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\) ⋮ A Howe correspondence for the algebra of the \(\mathfrak{osp}(1 | 2)\) Clebsch-Gordan coefficients ⋮ Generating function for the Bannai-Ito polynomials ⋮ Convolution identities for Dunkl orthogonal polynomials from the osp(1|2) Lie superalgebra

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